GCF and LCM Calculator Logo

What is the Least Common Multiple of 11539 and 11558?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 11539 and 11558 is 133367762.

LCM(11539,11558) = 133367762

LCM Calculator and
and

Least Common Multiple of 11539 and 11558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11539 and 11558, than apply into the LCM equation.

GCF(11539,11558) = 1
LCM(11539,11558) = ( 11539 × 11558) / 1
LCM(11539,11558) = 133367762 / 1
LCM(11539,11558) = 133367762

Least Common Multiple (LCM) of 11539 and 11558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11539 and 11558. First we will calculate the prime factors of 11539 and 11558.

Prime Factorization of 11539

Prime factors of 11539 are 11, 1049. Prime factorization of 11539 in exponential form is:

11539 = 111 × 10491

Prime Factorization of 11558

Prime factors of 11558 are 2, 5779. Prime factorization of 11558 in exponential form is:

11558 = 21 × 57791

Now multiplying the highest exponent prime factors to calculate the LCM of 11539 and 11558.

LCM(11539,11558) = 111 × 10491 × 21 × 57791
LCM(11539,11558) = 133367762